An optimal mesh generator for Lagrangian hydrodynamic calculations in two space dimensions

Abstract A linear numerical method is described which generates a curvilinear mesh that is as nearly orthogonal as possible, in a least-squares sense, subject to the constraint that mesh lines are matched to arbitrarily specified points around the perimeter of the region. An option permits trading off more orthogonality for improved line spacing. The use of the method in a practical zoner/rezoner is discussed. The method also has application for Eulerian hydrodynamic calculations.